Path integral in energy representation in quantum mechanics
arXiv:hep-th/0605169
Abstract
In this paper we develop the alternative path-integral approach to quantum mechanics. We present a resolvent of a Hamiltonian (which is Laplace transform of a evolution operator) in a form which has a sense of ``the sum over paths'' but it is much more better defined than the usual functional integral. We investigate this representation from various directions and compare such approach to quantum mechanics with the standard ones.
16 pages, 13 figures. Some sections was rewritten. Version accepted to Theor.Math.Phys